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On the Compactification of Products

Published online by Cambridge University Press:  20 November 2018

Christopher Todd
Christopher Todd*
Affiliation:
Rensselaer Polytechnic Institute, East Windsor Hills, Connecticut
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Let {Xa, a ∊ A} be a family of completely regular Hausdorff spaces, {βXa} the corresponding family of their Stone-Čech compactifications and ΠaXa the usual topological product. The following theorem was proved by Glicksberg [2] and subsequently by Frolík [1].

Type
Research Article
Information
Canadian Mathematical Bulletin , Volume 14 , Issue 4 , December 1971 , pp. 591 - 592
Copyright
Copyright © Canadian Mathematical Society 1971

References

1. Frolik, Z., The topological product of two pseudocompact spaces, Czechoslovak Math. J. 10 (1960), 339-349.Google Scholar
2. Glicksberg, I., Stone-Čech compactifications of products, Trans. Amer. Math. Soc. 90 (1959), 369-382.Google Scholar